A fluid dispenser device comprising a body (10), said device further comprising: an elongate flexible strip (20) supporting a plurality of reservoirs (21) each containing a dose of fluid or powder; reservoir-opening means (30) for opening a respective reservoir on each actuation; first displacement means (40) for causing said flexible strip (20) to advance before and/or during and/or after each actuation, so as to bring a full reservoir into register with said reservoir-opening means; and second displacement means (45) for displacing a full reservoir (21) against said opening means (30) each time the device is actuated, the leading end (25) of said flexible strip (20), in the advance direction of said strip, being fastened to a receiver element (50) that is rotatably mounted, said receiver element (50) being fastened to a loaded spring (500) that is adapted to exert a force on said receiver element (50) so as to urge it to turn, such that said receiver (50) exerts a traction force on said elongate strip (20), said traction force being independent of said first and second displacement means (40, 45).